233421340123040 has 24 divisors (see below), whose sum is σ = 551457916041060. Its totient is φ = 93368536049152.

The previous prime is 233421340123031. The next prime is 233421340123109. The reversal of 233421340123040 is 40321043124332.

It can be written as a sum of positive squares in 2 ways, for example, as 230091401287696 + 3329938835344 = 15168764^2 + 1824812^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 233421340122988 and 233421340123006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 729441687725 + ... + 729441688044.

Almost surely, 2^{233421340123040} is an apocalyptic number.

233421340123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233421340123040 is an abundant number, since it is smaller than the sum of its proper divisors (318036575918020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233421340123040 is a wasteful number, since it uses less digits than its factorization.

233421340123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458883375784 (or 1458883375776 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 233421340123040 its reverse (40321043124332), we get a palindrome (273742383247372).

The spelling of 233421340123040 in words is "two hundred thirty-three trillion, four hundred twenty-one billion, three hundred forty million, one hundred twenty-three thousand, forty".